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wel
3 years ago
14

Please help!!! I don’t understand

Mathematics
1 answer:
cluponka [151]3 years ago
5 0
The first statement CA || DB , E is midpoint is GIVEN to you. That is the reason that statement can be made. It is GIVEN.

The second statement I would make is that ∠ACE = ∠DBE and ∠CAE = ∠EDB because Alternate interior Angles of parallel line CA || BD. You can also say ∠DEB = ∠CEA due to vertical angles being equal.

The third statement should be that AE = ED because E is the midpoint of AD.

The fourth statement is that the triangles are congruent, this is because ASA . Angle-Side-Angle are equal.
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Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
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Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

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by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


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